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220033223312 = 24729738910427
BaseRepresentation
bin1100110011101100000…
…0001000101010010000
3210000221111022212120012
43030323000020222100
512101112001121222
6245025403334052
721616425352610
oct3147300105220
9700844285505
10220033223312
1185352022401
1236788821328
1317997859c76
14a914974a40
155acc0a41e2
hex333b008a90

220033223312 has 160 divisors (see below), whose sum is σ = 516711571200. Its totient is φ = 88783478784.

The previous prime is 220033223261. The next prime is 220033223323. The reversal of 220033223312 is 213322330022.

It is a super-2 number, since 2×2200332233122 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21097043 + ... + 21107469.

It is an arithmetic number, because the mean of its divisors is an integer number (3229447320).

Almost surely, 2220033223312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220033223312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258355785600).

220033223312 is an abundant number, since it is smaller than the sum of its proper divisors (296678347888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

220033223312 is a wasteful number, since it uses less digits than its factorization.

220033223312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10633 (or 10627 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 220033223312 its reverse (213322330022), we get a palindrome (433355553334).

The spelling of 220033223312 in words is "two hundred twenty billion, thirty-three million, two hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 73 89 112 116 146 178 203 232 292 356 406 464 511 584 623 712 812 1022 1168 1246 1424 1624 2044 2117 2492 2581 3248 4088 4234 4984 5162 6497 8176 8468 9968 10324 10427 12994 14819 16936 18067 20648 20854 25988 29638 33872 36134 41296 41708 45479 51976 59276 72268 72989 83416 90958 103952 118552 144536 145978 166832 181916 188413 237104 289072 291956 302383 363832 376826 583912 604766 727664 753652 761171 928003 1167824 1209532 1318891 1507304 1522342 1856006 2116681 2419064 2637782 3014608 3044684 3712012 4233362 4838128 5275564 5328197 6089368 6496021 7424024 8466724 10551128 10656394 12178736 12992042 14848048 16933448 21102256 21312788 22073959 25984084 26912087 33866896 42625576 44147918 51968168 53824174 67744219 85251152 88295836 103936336 107648348 135488438 154517713 176591672 188384609 215296696 270976876 309035426 353183344 376769218 430593392 474209533 541953752 618070852 753538436 948419066 1083907504 1236141704 1507076872 1896838132 1964582351 2472283408 3014153744 3793676264 3929164702 7587352528 7858329404 13752076457 15716658808 27504152914 31433317616 55008305828 110016611656 220033223312